Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We extend the generalized flux formulation of Double Field Theory to include all the first order bosonic contributions to the α′ expansion of the heterotic string low energy effective theory. The generalized tangent space and duality group are enhanced by α′ corrections, and the gauge symmetries are generated by the usual (gauged) generalized Lie derivative in the extended space. The generalized frame receives derivative corrections through the spin connection with torsion, which is incorporated as a new degree of freedom in the extended bein. We compute the generalized fluxes and find the Riemann curvature tensor with torsion as one of their components. All the four-derivative terms of the action, Bianchi identities and equations of motion are reproduced. Using this formalism, we obtain the first order α′ corrections to the heterotic Buscher rules. The relation of our results to alternative formulations in the literature is discussed and future research directions are outlined. © 2014, The Author(s).

Registro:

Documento: Artículo
Título:Heterotic α’-corrections in Double Field Theory
Autor:Bedoya, O.A.; Marqués, D.; Núñez, C.
Filiación:Instituto de Astronomía y Física del Espacio (CONICET-UBA), Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Física, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
Palabras clave:String Duality; Superstrings and Heterotic Strings
Año:2014
Volumen:2014
Número:12
DOI: http://dx.doi.org/10.1007/JHEP12(2014)074
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n12_p_Bedoya

Referencias:

  • Siegel, W., Superspace duality in low-energy superstrings (1993) Phys. Rev, D 48, p. 2826. , [ hep-th/9305073 ] [ INSPIRE ]
  • Siegel, W., Two vierbein formalism for string inspired axionic gravity (1993) Phys. Rev, D 47, p. 5453. , [ hep-th/9302036 ] [ INSPIRE ]
  • Siegel, W., (1993) ITP-SB-93-050 [hep-th/9308133] [INSPIRE], , INSPIRE, State University New York, Stony Brook, U.S.A
  • Hull, C., Zwiebach, B., Double Field Theory (2009) JHEP, 9, p. 099. , [ arXiv:0904.4664 ] [ INSPIRE ]
  • Hohm, O., Hull, C., Zwiebach, B., Background independent action for double field theory (2010) JHEP, 7, p. 016. , [ arXiv:1003.5027 ] [ INSPIRE ]
  • Hohm, O., Kwak, S.K., Double Field Theory Formulation of Heterotic Strings (2011) JHEP, 6, p. 096. , [ arXiv:1103.2136 ] [ INSPIRE ]
  • Hohm, O., Kwak, S.K., Zwiebach, B., Double Field Theory of Type II Strings (2011) JHEP, 9, p. 013. , [ arXiv:1107.0008 ] [ INSPIRE ]
  • Hohm, O., Kwak, S.K., Massive Type II in Double Field Theory (2011) JHEP, 11, p. 086. , [ arXiv:1108.4937 ] [ INSPIRE ]
  • Jeon, I., Lee, K., Park, J.-H., Suh, Y., Stringy Unification of Type IIA and IIB Supergravities under N = 2 D = 10 Supersymmetric Double Field Theory (2013) Phys. Lett, B 723, p. 245. , [ arXiv:1210.5078 ] [ INSPIRE ]
  • Coimbra, A., Strickland-Constable, C., Waldram, D., Supergravity as Generalised Geometry I: Type II Theories (2011) JHEP, 11, p. 091. , [ arXiv:1107.1733 ] [ INSPIRE ]
  • Hohm, O., Kwak, S.K., N=1 Supersymmetric Double Field Theory (2012) JHEP, 3, p. 080. , [ arXiv:1111.7293 ] [ INSPIRE ]
  • INSPIRE, I. Jeon, K. Lee and J.-H. Park, Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity, Phys. Rev; Hohm, O., Hull, C., Zwiebach, B., Generalized metric formulation of double field theory (2010) JHEP, 8, p. 008. , [ arXiv:1006.4823 ] [ INSPIRE ]
  • Hohm, O., Kwak, S.K., Frame-like Geometry of Double Field Theory (2011) J. Phys, A 44. , [ arXiv:1011.4101 ] [ INSPIRE ] 085404
  • Graña, M., Minasian, R., Petrini, M., Waldram, D., T-duality, Generalized Geometry and Non-Geometric Backgrounds (2009) JHEP, 4, p. 075. , [ arXiv:0807.4527 ] [ INSPIRE ]
  • Hull, C., Zwiebach, B., The Gauge algebra of double field theory and Courant brackets (2009) JHEP, 9, p. 090. , [ arXiv:0908.1792 ] [ INSPIRE ]
  • Aldazabal, G., Marques, D., Núñez, C., Double Field Theory: A Pedagogical Review (2013) Class. Quant. Grav, 30. , [ arXiv:1305.1907 ] [ INSPIRE ] 163001
  • INSPIRE, D.S. Berman and D.C. Thompson, Duality Symmetric String and M-theory; Hohm, O., Siegel, W., Zwiebach, B., Doubled α′-geometry (2014) JHEP, 2, p. 065. , [ arXiv:1306.2970 ] [ INSPIRE ]
  • Cai, Y., Núñez, C.A., Heterotic String Covariant Amplitudes and Low-energy Effective Action (1987) Nucl. Phys, B 287, p. 279. , [ INSPIRE ]
  • Gross, D.J., Sloan, J.H., The Quartic Effective Action for the Heterotic String (1987) Nucl. Phys, B 291, p. 41. , [ INSPIRE ]
  • Bergshoeff, E., de Roo, M., Supersymmetric Chern-Simons Terms in Ten-dimensions (1989) Phys. Lett, B 218, 210p. , [ INSPIRE ]
  • Bergshoeff, E.A., de Roo, M., The Quartic Effective Action of the Heterotic String and Supersymmetry (1989) Nucl. Phys, B 328, p. 439. , [ INSPIRE ]
  • Callan, C.G., Jr., Martinec, E.J., Perry, M.J., Friedan, D., Strings in Background Fields (1985) Nucl. Phys, B 262, p. 593. , [ INSPIRE ]
  • Metsaev, R.R., Tseytlin, A.A., Order α′ (Two Loop) Equivalence of the String Equations of Motion and the σ-model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor (1987) Nucl. Phys, B 293, p. 385. , [ INSPIRE ]
  • Chemissany, W.A., de Roo, M., Panda, S., α′-Corrections to Heterotic Superstring Effective Action Revisited (2007) JHEP, 8, 37p. , [ arXiv:0706.3636 ] [ INSPIRE ]
  • Becker, K., Sethi, S., Torsional Heterotic Geometries (2009) Nucl. Phys, B 820, p. 1. , [ arXiv:0903.3769 ] [ INSPIRE ]
  • Becker, K., Bertinato, C., Chung, Y.-C., Guo, G., Supersymmetry breaking, heterotic strings and fluxes (2009) Nucl. Phys, B 823, p. 428. , [ arXiv:0904.2932 ] [ INSPIRE ]
  • Duff, M.J., Nilsson, B.E.W., Warner, N.P., Pope, C.N., Kaluza-Klein Approach to the Heterotic String. 2 (1986) Phys. Lett, B 171, p. 170. , [ INSPIRE ]
  • Andriot, D., Heterotic string from a higher dimensional perspective (2012) Nucl. Phys, B 855, p. 222. , [ arXiv:1102.1434 ] [ INSPIRE ]
  • Garcia-Fernandez, M., Torsion-free generalized connections and Heterotic Supergravity (2014) Commun. Math. Phys, 332, p. 89. , [ arXiv:1304.4294 ] [ INSPIRE ]
  • INSPIRE, D. Baraglia and P. Hekmati, Transitive Courant Algebroids, String Structures and T-duality; INSPIRE, A. Coimbra, R. Minasian, H. Triendl and D. Waldram, Generalised geometry for string corrections; Geissbuhler, D., Marques, D., Núñez, C., Penas, V., Exploring Double Field Theory (2013) JHEP, 6, p. 101. , [ arXiv:1304.1472 ] [ INSPIRE ]
  • Poláček, M., Siegel, W., Natural curvature for manifest T-duality (2014) JHEP, 1, p. 026. , [ arXiv:1308.6350 ] [ INSPIRE ]
  • Hatsuda, M., Kamimura, K., Siegel, W., Superspace with manifest T-duality from type-II superstring (2014) JHEP, 6, p. 039. , [ arXiv:1403.3887 ] [ INSPIRE ]
  • Poláček, M., Siegel, W., T-duality off shell in 3D Type II superspace (2014) JHEP, 6, p. 107. , [ arXiv:1403.6904 ] [ INSPIRE ]
  • Hohm, O., Zwiebach, B., On the Riemann Tensor in Double Field Theory (2012) JHEP, 5, p. 126. , [ arXiv:1112.5296 ] [ INSPIRE ]
  • Buscher, T., A Symmetry of the String Background Field Equations (1987) Phys. Lett, B 194, p. 59. , [ INSPIRE ]
  • Buscher, T., Path Integral Derivation of Quantum Duality in Nonlinear Sigma Models (1988) Phys. Lett, B 201, p. 466. , [ INSPIRE ]
  • Roček, M., Verlinde, E.P., Duality, quotients and currents (1992) Nucl. Phys, B 373, p. 630. , [ hep-th/9110053 ] [ INSPIRE ]
  • Alvarez, E., Álvarez-Gaumé, L., Lozano, Y., A Canonical approach to duality transformations (1994) Phys. Lett, B 336, 183p. , [ hep-th/9406206 ] [ INSPIRE ]
  • Alvarez, E., Álvarez-Gaumé, L., Lozano, Y., An Introduction to T-duality in string theory (1995) Nucl. Phys. Proc. Suppl, 41, 1p. , [ hep-th/9410237 ] [ INSPIRE ]
  • Bergshoeff, E., Entrop, I., Kallosh, R., Exact duality in string effective action (1994) Phys. Rev, D 49, p. 6663. , [ hep-th/9401025 ] [ INSPIRE ]
  • Meissner, K.A., Symmetries of higher order string gravity actions (1997) Phys. Lett, B 392, p. 298. , [ hep-th/9610131 ] [ INSPIRE ]
  • Kaloper, N., Meissner, K.A., Duality beyond the first loop (1997) Phys. Rev, D 56, p. 7940. , [ hep-th/9705193 ] [ INSPIRE ]
  • Balog, J., Forgacs, P., Mohammedi, N., Palla, L., Schnittger, J., On quantum T-duality in σ-models (1998) Nucl. Phys, B 535, p. 461. , [ hep-th/9806068 ] [ INSPIRE ]
  • Serone, M., Trapletti, M., A Note on T-duality in heterotic string theory (2006) Phys. Lett, B 637, p. 331. , [ hep-th/0512272 ] [ INSPIRE ]
  • Bergshoeff, E., Janssen, B., Ortín, T., Solution generating transformations and the string effective action (1996) Class. Quant. Grav, 13, p. 321. , [ hep-th/9506156 ] [ INSPIRE ]
  • Graña, M., Marques, D., Gauged Double Field Theory (2012) JHEP, 4, p. 020. , [ arXiv:1201.2924 ] [ INSPIRE ]
  • INSPIRE, G. Aldazabal, W. Baron, D. Marques and C. Núñez, The effective action of Double Field Theory, JHEP; Geissbuhler, D., Double Field Theory and N = 4 Gauged Supergravity (2011) JHEP, 11, p. 116. , [ arXiv:1109.4280 ] [ INSPIRE ]
  • INSPIRE, K. Lee, C. Strickland-Constable and D. Waldram, Spheres, generalised parallelisability and consistent truncations; Green, M.B., Schwarz, J.H., Anomaly Cancellation in Supersymmetric D = 10 Gauge Theory and Superstring Theory (1984) Phys. Lett, B 149, p. 117. , [ INSPIRE ]
  • Jeon, I., Lee, K., Park, J.-H., Differential geometry with a projection: Application to double field theory (2011) JHEP, 4, p. 014. , [ arXiv:1011.1324 ] [ INSPIRE ]
  • Jeon, I., Lee, K., Park, J.-H., Stringy differential geometry, beyond Riemann (2011) Phys. Rev, D 84. , [ arXiv:1105.6294 ] [ INSPIRE ] 044022
  • Giveon, A., Porrati, M., Rabinovici, E., Target space duality in string theory (1994) Phys. Rept, 244, p. 77. , [ hep-th/9401139 ] [ INSPIRE ]
  • Green, M.B., Miller, S.D., Russo, J.G., Vanhove, P., Eisenstein series for higher-rank groups and string theory amplitudes (2010) Commun. Num. Theor. Phys, 4, p. 551. , [ arXiv:1004.0163 ] [ INSPIRE ]
  • Green, M.B., Russo, J.G., Vanhove, P., String theory dualities and supergravity divergences (2010) JHEP, 6, p. 075. , [ arXiv:1002.3805 ] [ INSPIRE ]
  • Garousi, M.R., T-duality of the Riemann curvature corrections to supergravity (2013) Phys. Lett, B 718, p. 1481. , [ arXiv:1208.4459 ] [ INSPIRE ]
  • INSPIRE, J.T. Liu and R. Minasian, Higher-derivative couplings in string theory: dualities and the B-field; Godazgar, H., Godazgar, M., Duality completion of higher derivative corrections (2013) JHEP, 9, p. 140. , [ arXiv:1306.4918 ] [ INSPIRE ]
  • Berman, D.S., Lee, K., Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions (2014) Nucl. Phys, B 881, p. 369. , [ arXiv:1305.2747 ] [ INSPIRE ]
  • O. Bedoya, D. Marques and C. Núñez, in preparation; INSPIRE, M. Graña, J. Louis, U. Theis and D. Waldram, Quantum Corrections in String Compactifications on SU(3) Structure Geometries; Dibitetto, G., Fernandez-Melgarejo, J.J., Marques, D., Roest, D., Duality orbits of non-geometric fluxes (2012) Fortsch. Phys, 60, p. 1123. , [ arXiv:1203.6562 ] [ INSPIRE ]
  • INSPIRE, O. Hohm and B. Zwiebach, Green-Schwarz mechanism and α′-deformed Courant brackets; Hohm, O., Zwiebach, B., Double field theory at order α′ (2014) JHEP, 11, p. 075. , [ arXiv:1407.3803 ] [ INSPIRE ]

Citas:

---------- APA ----------
Bedoya, O.A., Marqués, D. & Núñez, C. (2014) . Heterotic α’-corrections in Double Field Theory. Journal of High Energy Physics, 2014(12).
http://dx.doi.org/10.1007/JHEP12(2014)074
---------- CHICAGO ----------
Bedoya, O.A., Marqués, D., Núñez, C. "Heterotic α’-corrections in Double Field Theory" . Journal of High Energy Physics 2014, no. 12 (2014).
http://dx.doi.org/10.1007/JHEP12(2014)074
---------- MLA ----------
Bedoya, O.A., Marqués, D., Núñez, C. "Heterotic α’-corrections in Double Field Theory" . Journal of High Energy Physics, vol. 2014, no. 12, 2014.
http://dx.doi.org/10.1007/JHEP12(2014)074
---------- VANCOUVER ----------
Bedoya, O.A., Marqués, D., Núñez, C. Heterotic α’-corrections in Double Field Theory. J. High Energy Phys. 2014;2014(12).
http://dx.doi.org/10.1007/JHEP12(2014)074